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Help Me please.

 

Exercise: Solve the logarithmic equation, round decimal answers to the thousandths place.

 

Log(x+2)=1+ log x

ManuelBautista2019  Mar 28, 2018
 #1
avatar+89953 
+1

log ( x + 2)  = 1 + log (x)

 

We can write

 

log ( x + 2)  -  log (x)  =  1       using a log property, we have that

 

log [ (x + 2) / x ]   = 1       in exponential form, we have

 

10 ^1   =  [x + 2] / x

 

10  =  [ x + 2] / x      multiply both sides by x

 

10x  = x + 2   subtract x from  both sides

 

9x  =  2    divide both sides by 9

 

x  = 2/9  ≈ 0.222

 

 

cool cool cool

CPhill  Mar 28, 2018

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